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I think the sieve method is very good at explaining Monty Hall problem. On the otherhand I prefer another explanation, when the host...

Right. I'll leave it to anyone who knows Japanese to evaluate the lyrics.

If not AI, they might as well be. A weakness of AI songs is the lyrics, which I can not understand in these. AI lyrics seem to piece...

Only if the two options are equal probability, which they are not. Simply having two options does not mean that the probability is 1/2...

Except that you can be objectively shown to be wrong. The simulation in post 27 proves that switching doors will result in winning...

In the Monte Hall game, the player only has one choice that he does before Monte opens any door. So you don't think that Rule 2 and the...

Exactly. Good point. It is the "filtering" action of the rule that makes the difference. With the rule, you know that if the remaining...

You understand what I'm saying. So, Ibix, the conclusion is that the rule is what matters, not whether Monty does it randomly or not...

I have a problem with coming up with something at hand, I learned most of these things from different papers and from people I worked...

Or a simulation. :)

So the door equivalent of a non-Newtonian fluid... :smile:

Have you done the math? Math is your friend in this. The conditional probabilities are completely different in the two situations. See...

It is important because it changes the conditional probabilities. As a matter of notation, let’s call the door that the contestant...

Yes, it does make a difference. There is a difference between an accidental result of rare luck versus the intentional act of avoiding...

Yes. Restarting the game is the same as making a rule that he can not open the door with the prize. Any time he violates that rule, the...